199272960 has 300 divisors, whose sum is σ = 737499114. Its totient is φ = 51425280.

The previous prime is 199272907. The next prime is 199272961. The reversal of 199272960 is 69272991.

It can be written as a sum of positive squares in only one way, i.e., 179345664 + 19927296 = 13392^2 + 4464^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (199272961) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6428145 + ... + 6428175.

Almost surely, 2^199272960 is an apocalyptic number.

199272960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368749557).

199272960 is an abundant number, since it is smaller than the sum of its proper divisors (538226154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199272960 is an frugal number, since it uses more digits than its factorization.

199272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 199272960 is about 14116.4074749916. The cubic root of 199272960 is about 584.0940612864.

The spelling of 199272960 in words is "one hundred ninety-nine million, two hundred seventy-two thousand, nine hundred sixty".